oh, that's a good topic triers!I'm sure you know but here I go. my last great invention in music is an album called "A Sphere in the Heart of Silence" by John Frusciante and Josh Klinghoffer.
It's hard to describe the sound, it's rather experimental than alternative and you can hear some really great guitars, analog synths and drums, vocals are amazing as well.
If speaking about Babyshambles, it's not worthless to mention The Libertines, Pete Doherty and Carl Barat's collaboration, which, unfortunately, broke up. Anyway their albums are very good so I'm going to draw to your attention Up the Bracket and The Libertines